1130lab5

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School

University of Guelph *

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Course

1130

Subject

Mechanical Engineering

Date

Dec 6, 2023

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pdf

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5

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Uploaded by JusticeFangIbis47

Lab 5 - Torque Methods: To complete this lab, we first put tape across a door and marked out the 10cm, 40cm, and 70cm marks. We then opened the door about 45° and marked the position on the floor. Then, we pushed the door closed at each of the marks on the tape and recorded the force using the force sensor on the IOLab. The materials needed for this lab were: Tape Marker IOLab Door Computer
Results: Question 1: It is important to hold the IOLab perpendicular to the door because if the IOLab is not perpendicular, the recorded force will not be accurate. As we can see in equation 8-18, T= rFsinθ, only the perpendicular component of the force exerts a torque about the pivot. Question 2: As I push the door closed, the door hinges are on my right. Therefore, the torque I am applying has a direction that is clockwise and negative. Question 3: Force at 40 cm: (23.1±0.3)N Same torque at 10 cm: Same torque at 70 cm:
Force measurements (Question 4): 10 cm: F = (25.27±0.05)N 40 cm: F = (23.1±0.3)N 70 cm: F = (23.0±0.1)N
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Torque calculations: 10 cm: 40 cm: 70 cm:
Question 5: The force required to keep a consistent torque will have an inverse relationship with radius. We can see this relationship in equation 8-18, T= rFsinθ. Knowing that sin(90) is 1 and rearranging for force gives us F = T/r To illustrate this relationship, I made a graph of force vs radius for a constant torque of 100 NM. As we can see, The amount of force needed is reciprocally/inversely related to the radius. Therefore the relationship between force and radius is not linear. Question 6: It is possible to evaluate the force required to close a door by pushing at 1 cm as long as we have a torque. The force we would get would be very large as closing a door from a short radius will cause the force needed to increase. Conclusion In this Lab, we were tasked with finding torque at 3 different radii. The torque calculated at 10 cm, 40 cm, and 70 cm respectively are (2.53 ±0.01) NM, (9.2 ±0.1) NM, and (16.10 ±0.07) NM. Some sources of uncertainty in this lab could have been inconsistent pushing, a non-levelled floor, or a non-90-degree angle between the IOLab and the door. This experiment could be performed more accurately if the floor is very level, and if a machine was used to push the IOLab against the door. This would guarantee a constant force and a constant angle.